In connection with proof in geometry, indicate which one of the following statements is incorrect:
A
Some statements are accepted without being proved.
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B
In some instances there is more than one correct order in proving certain propositions.
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C
Every term used in a proof must have been defined previously.
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D
It is not possible to arrive by correct reasoning as a true conclusion if, in the given, there is an untrue proposition.
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E
Indirect proof can be used whenever there are two or more contrary propositions.
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Solution
The correct option is C Every term used in a proof must have been defined previously. is incorrect since some terms (primitives) must necessarily remain undefined.